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weak Kurepa tree Filter reflection indecomposable ultrafilter Singular Density unbounded function Coherent tree Diamond-sharp Generalized descriptive set theory Foundations Forcing Axioms countably metacompact tensor product graph stick OCA P-Ideal Dichotomy super-Souslin tree free Souslin tree Souslin Tree Nonspecial tree Singular cofinality Uniformization Commutative cancellative semigroups Prikry-type forcing Analytic sets SNR Greatly Mahlo Mandelbrot set Small forcing diamond star ZFC construction Erdos Cardinal Chang's conjecture Uniformly coherent Almost Souslin Selective Ultrafilter GMA Microscopic Approach free Boolean algebra Vanishing levels Antichain Non-saturation Subnormal ideal nonmeager set higher Baire space regressive Souslin tree approachability ideal Chromatic number middle diamond Minimal Walks Hindman's Theorem Iterated forcing Successor of Regular Cardinal Reflecting stationary set Poset Well-behaved magma Shelah's Strong Hypothesis AIM forcing Subtle tree property Was Ulam right? reflection principles PFA Local Club Condensation. Successor of Singular Cardinal Precaliber strongly bounded groups Dushnik-Miller Strongly compact cardinal full tree Fast club specializable Souslin tree Sigma-Prikry polarized partition relation Rado's conjecture Fat stationary set Luzin set Sierpinski's onto mapping principle Cohen real Partition Relations Large Cardinals stationary reflection sap Distributive tree Hedetniemi's conjecture Diamond for trees Knaster Subadditive Club Guessing Reduced Power Knaster and friends very good scale Parameterized proxy principle L-space Commutative projection system Strongly Luzin set Rainbow sets Almost countably chromatic xbox Ostaszewski square Martin's Axiom Slim tree Ulam matrix Hereditarily Lindelöf space square Ascent Path Fodor-type reflection Strong coloring Sakurai's Bell inequality Intersection model stationary hitting HOD Forcing Ramsey theory over partitions Almost-disjoint family Diamond Aronszajn tree Universal Sequences transformations Whitehead Problem Subtle cardinal Postprocessing function Prevalent singular cardinals Open Access coloring number Ineffable cardinal C-sequence Absoluteness Erdos-Hajnal graphs Cardinal function Kurepa Hypothesis club_AD Rock n' Roll Generalized Clubs PFA(S)[S] 54G20 ccc Axiom R Square-Brackets Partition Relations Respecting tree Singular cardinals combinatorics O-space Weakly compact cardinal Constructible Universe Lipschitz reduction Dowker space square principles Closed coloring weak square Countryman line Amenable C-sequence Jonsson cardinal projective Boolean algebra b-scale positive partition relation weak diamond Cardinal Invariants Uniformly homogeneous incompactness S-Space
Tag Archives: Singular Density
On topological spaces of singular density and minimal weight
Abstract: We introduce a weakening of the Generalized Continuum Hypothesis, which we will refer to as the Prevalent Singular cardinals Hypothesis (PSH), and show it implies that every topological space of density and weight
Workshop on Set Theory and its Applications, February 2007
These are the slides of a talk given at the Workshop on Set Theory and its Applications workshop (Weizmann Institute, February 19, 2007). Talk Title: Nets of spaces having singular density Abstract: The weight of a topological space X is the … Continue reading
On the consistency strength of the Milner-Sauer conjecture
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset
